Atkin-Lehner |
3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12045c |
Isogeny class |
Conductor |
12045 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
108405 = 33 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1341,18461] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:193:1] |
Generators of the group modulo torsion |
j |
266890960175104/108405 |
j-invariant |
L |
3.4184411254375 |
L(r)(E,1)/r! |
Ω |
2.7150397967612 |
Real period |
R |
3.7772276445252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36135i1 60225a1 |
Quadratic twists by: -3 5 |